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Finding the Fourth Proportional to 13,471.88, 20,198.70 and 4,702

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Solution

The fourth proportional to 13,471.88, 20,198.70 and 4,702 is: 7,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.88 : 20,198.70 = 4,702 : x
  2. Step 2: Convert to fraction form
    13,471.88/20,198.70 = 4,702/x
  3. Step 3: Cross multiply
    13,471.88x = 20,198.70 × 4,702
  4. Step 4: Simplify right side
    13,471.88x = 94,974,287.40
  5. Step 5: Solve for x
    x = 94,974,287.40/13,471.88
  6. Step 6: Final answer
    x = 7,049.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.